22672128 has 72 divisors (see below), whose sum is σ = 61589808. Its totient is φ = 7401472.

The previous prime is 22672103. The next prime is 22672141. The reversal of 22672128 is 82127622.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22672095 and 22672104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40426 + ... + 40982.

It is an arithmetic number, because the mean of its divisors is an integer number (855414).

Almost surely, 2^22672128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30794904).

22672128 is an abundant number, since it is smaller than the sum of its proper divisors (38917680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22672128 is an equidigital number, since it uses as much as digits as its factorization.

22672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 22672128 is about 4761.5258058736. The cubic root of 22672128 is about 283.0288857462.

The spelling of 22672128 in words is "twenty-two million, six hundred seventy-two thousand, one hundred twenty-eight".